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# The length of a certain rectangular solid is doubled, its width is tri

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
The length of a certain rectangular solid is doubled, its width is tri  [#permalink]

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17 Jan 2019, 03:30
00:00

Difficulty:

35% (medium)

Question Stats:

56% (00:56) correct 44% (01:19) wrong based on 20 sessions

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The length of a certain rectangular solid is doubled, its width is tripled, and its height is quadrupled. e volume of the resulting rectangular solid will be what percent greater than the volume of the original rectangular solid?

A 1,100%

B 1,200%

C 2,200%

D 2,300%

E 2,400%

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Re: The length of a certain rectangular solid is doubled, its width is tri  [#permalink]

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17 Jan 2019, 03:35
Volume of a rectangular solid is w*l*h
Now, l = 2l
w = 3w
h = 4h
New volume = 24wlh.

% change = 24wlh-wlh/wlh = 23*100 = 2300.

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Re: The length of a certain rectangular solid is doubled, its width is tri  [#permalink]

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17 Jan 2019, 06:35
Bunuel wrote:
The length of a certain rectangular solid is doubled, its width is tripled, and its height is quadrupled. e volume of the resulting rectangular solid will be what percent greater than the volume of the original rectangular solid?

A 1,100%

B 1,200%

C 2,200%

D 2,300%

E 2,400%

take l = 1, b=2 , h =3
so new l=2, b=6 , h = 12
so ( 2*6*12)- ( 1*2*3) / ( 6)

= 2300 IMO D
Re: The length of a certain rectangular solid is doubled, its width is tri   [#permalink] 17 Jan 2019, 06:35
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